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- DCU Subject Areas (223)
**Mathematics**(223)- Algebra (3)

- Applied Mathematics (12)

- Dynamics (7)

- Geometry (2)

- Mathematical models (37)

- Numerical analysis (26)

- Probabilities (9)

- Relativity (2)

- Statistics (15)

- Stochastic analysis (17)

- Topology (2)

**110**.

## Article

Byrne, Paul, Cullinan, John, Murphy, Cathriona and Smith, Susan M.
(2018)
*Cross-sectional analysis of the prevalence and predictors of statin utilisation in Ireland with a focus on primary prevention of cardiovascular disease.*
BMJ Open
.

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115 and Carr, Michael
(2017)
*Formative assessment in mathematics for engineering students.*
European Journal of Engineering Education, 42
(4).
pp. 458-470.
ISSN 0304-3797

Appleby, John A.D. and Patterson, Denis D.
(2016)
*Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity.*
Electronic Journal of Qualitative Theory of Differential Equations
(3).
pp. 1-38.
ISSN 1417-3875

Appleby, John A.D.
(2016)
*Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation.*
Electronic Journal of Qualitative Theory of Differential Equations
(2).
pp. 1-32.
ISSN 1417-3875

Condon, Marissa, Deaño, Alfredo, Gao, Jing and Iserles, Arieh
(2015)
*Asymptotic solvers for ordinary differential equations with multiple frequencies.*
Science China Mathematics, 58
(11).
pp. 2279-2300.
ISSN 1869-1862

Bezbradica, Marija, Ruskin, Heather J. and Crane, Martin
(2014)
*Comparative analysis of asynchronous cellular automata in stochastic pharmaceutical modelling.*
Journal Of Computational Science, 5
(5).
pp. 834-840.
ISSN 1877-7503

Gutierrez, Antonio, Jiménez, Maria Jose, Monaghan, David and O'Connor, Noel E.
(2014)
*Topological evaluation of volume reconstructions by voxel carving.*
Computer Vision and Image Understanding, 121
.
pp. 27-35.
ISSN 1077-3142

Condon, Marissa
(2012)
*Efficient computation of delay differential equations with highly oscillatory terms.*
ESAIM: Mathematical Modelling and Numerical Analysis, 46
(6).
pp. 1407-1420.
ISSN 0764-583X

Dunphy, Elizabeth
(2010)
*Exploring young children’s (mathematical) thinking: preservice teachers reflect on the use of the one-to-one interview.*
International Journal of Early Years Education, 18
(4).
pp. 331-347.
ISSN 1469-8463

Dunphy, Elizabeth
(2009)
*Early childhood mathematics teaching: challenges, difficulties and priorities of teachers of young children in primary schools in Ireland.*
International Journal of Early Years Education, 17
(1).
pp. 3-16.
ISSN 0966-9760
(In Press)

Breen, Sinéad, Cleary, Joan and O’Shea, Ann
(2009)
*An investigation of the mathematical literacy of first year third-level students in the Republic of Ireland.*
International Journal of Mathematical Education in Science and Technology, 40
(2).
pp. 229-246.
ISSN 1464-5211

Costello, Eamon, Fox, Seamus and Walsh, Elaine
(2009)
*A reappraisal of online mathematics teaching using LaTeX.*
International Journal of Emerging Technologies in Learning (iJET), 4
(4).
ISSN 1863-0383

Harada, Tomohiro, Nakao, Ken-ichi and Nolan, Brien C.
(2009)
*Einstein-Rosen waves and the self-similarity hypothesis in cylindrical symmetry.*
Physical Review D, 80
(2).
024025-1.
ISSN 1550-7998

Waters, Thomas J. and Nolan, Brien C.
(2009)
*Gauge invariant perturbations of self-similar Lemaître-Tolman-Bondi spacetime: even parity modes with l≥2.*
Physical Review D, 79
(8).
084002-1.
ISSN 1550-7998

Nolan, Brien C. and Debnath, Ujjal
(2007)
*Is the shell-focusing singularity of Szekeres space-time visible?*
Physical Review D, 76
(10).
104046-1-104046-10.
ISSN 1550-7998

Menkens, Olaf
(2006)
*Crash hedging strategies and worst–case scenario portfolio optimization.*
International Journal of Theoretical and Applied Finance, 9
(4).
pp. 597-618.
ISSN 0219-0249

Nolan, Brien C. and Waters, Thomas J.
(2005)
*Even perturbations of the self-similar Vaidya space-time.*
Physical Review D, 71
(10).
pp. 104030-1.
ISSN 1550-7998

Korn, Ralf and Menkens, Olaf
(2005)
*Worst-case scenario portfolio optimization: a new stochastic control approach.*
Mathematical Methods of Operations Research, 62
(1).
pp. 123-140.
ISSN 1432-5217

Nolan, Brien C.
(2004)
*Physical interpretation of gauge invariant perturbations of spherically symmetric space-times.*
Physical Review D, 70
(4).
044004-1-044004-6.
ISSN 1550-7998

Mena, Filipe, Nolan, Brien C. and Tavakol, Reza
(2004)
*Role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse.*
Physical Review D, 70
(8).
084030-1-084030-10.
ISSN 1550-7998

Nolan, Brien C. and Waters, Thomas J.
(2002)
*Cauchy horizon stability in self-similar collapse: scalar radiation.*
Physical Review D, 66
(10).
104012-1-104012-10.
ISSN 0556-2821

Nolan, Brien C.
(2002)
*Naked singularities in cylindrical collapse of counterrotating dust shells.*
Physical Review D, 65
(10).
104006-1-104006-4.
ISSN 0556-2821

Nolan, Brien C.
(2000)
*Central singularity in spherical collapse.*
Physical Review D, 62
(4).
044015-1.
ISSN 0556-2821

Nolan, Brien C.
(1999)
*Strengths of singularities in spherical symmetry.*
Physical Review D, 60
(2).
024014-1-024014-9.
ISSN 0556-2821

Nolan, Brien C.
(1998)
*A point mass in an isotropic universe: existence, uniqueness, and basic properties.*
Physical Review D, 58
(6).
064006-1.
ISSN 0556-2821

## Thesis

Patterson, Denis D.
(2018)
*Asymptotic growth in nonlinear stochastic and deterministic functional differential equations.*
PhD thesis, Dublin City University.

O'Sullivan, Brendan
(2017)
*An analysis of mathematical tasks used at second-level in Ireland.*
PhD thesis, Dublin City University.

Kinsella, Aaron
(2017)
*The thermodynamics of multiﬂuid magnetohydrodynamic turbulence in star forming regions.*
Master of Science thesis, Dublin City University.

Gurhy, Ann Marie
(2017)
*Using assessment for learning to enhance the teaching and learning of mathematics in one Primary school: a lesson study approach.*
Doctor of Education thesis, Dublin City University.

Garcia, Diego
(2016)
*Escrow account and moral hazard.*
Master of Science thesis, Dublin City University.

Treacy, Maria (Mia)
(2015)
*Spoon-feeding to tongue-biting and beyond: implementing a reform approach to mathematics teaching in an Irish primary school.*
Doctor of Education thesis, Dublin City University.

Nahari, Noha
(2014)
*Mathematical skills and attitudes of first year engineering students.*
Master of Engineering thesis, Dublin City University.

Zhou, Rui
(2014)
*Optical frequency comb source for next generation access networks.*
PhD thesis, Dublin City University.

Cheng, Jian
(2012)
*Classication of the asymptotic behaviour of solutions of stochastic differential equations with state independent noise.*
PhD thesis, Dublin City University.

Nic Mhuiri, Siún Eithne
(2012)
*Does it go without saying?
Mathematical thinking in whole class discourse.*
PhD thesis, Dublin City University.

Quinn, Jason
(2012)
*Numerical methods for nonlinear singulary perturbed differential equations.*
PhD thesis, Dublin City University.

Daniels, John A.
(2012)
*On admissibility of deterministic and stochastic linear Volterra operators with applications to inefficient financial markets.*
PhD thesis, Dublin City University.

McGuinness, Ed
(2012)
*Role of delay differential equations in modelling low level HIV viral load.*
PhD thesis, Dublin City University.

Hoban, Richard
(2011)
*Mathematical transfer by chemistry undergraduate students.*
PhD thesis, Dublin City University.

O'Callaghan, Eóin
(2011)
*The analysis and implementation of exponential almost Runge-Kutta methods for semilinear problems.*
PhD thesis, Dublin City University.

Jones, Aoife Clare
(2011)
*Multifluid Kelvin-Helmholtz instability in weakly ionised astrophysical plasmas.*
PhD thesis, Dublin City University.

Mullen, Marie
(2010)
*Accelerated stationary iterative methods for the numerical solution of electromagnetic wave scattering problems.*
PhD thesis, Dublin City University.

Wu, Huizhong
(2009)
*On the pathwise large deviations of stochatic differential and functional differential equations with applications to finance.*
PhD thesis, Dublin City University.

Swords, Catherine
(2009)
*Stochastic delay difference and differential equations: applications to financial markets.*
PhD thesis, Dublin City University.

Corkery, Seán
(2008)
*Propagation of molecular outflows into inhomogeneous media.*
Master of Science thesis, Dublin City University.

McMahon, Niall
(2008)
*The mechanics of drug dissolution: a demonstration of the potential of mathematical and numerical methods for solving flow related problems in pharmaceutics.*
PhD thesis, Dublin City University.

Nolan, Louise V.
(2007)
*Cylindrically symmetric models of gravitational collapse.*
PhD thesis, Dublin City University.

Keegan, Ronan Michael
(2005)
*High resolution simulations of the long-term evolution of jets from young stellar objects using parallel algorithms.*
PhD thesis, Dublin City University.

Kelly, Cónall
(2005)
*On the oscillatory behaviour of stochastic delay equations.*
PhD thesis, Dublin City University.

Pickett, Maria Louise
(2005)
*Singularly perturbed problems modelling reaction - convection - diffusion processes.*
PhD thesis, Dublin City University.

Waters, Thomas J.
(2005)
*Stability of naked singularities in self-similar collapse.*
PhD thesis, Dublin City University.

Bellew, Seamus
(2003)
*A Dirichlet problem for a coupled system of two singularly perturbed convection-diffusion ordinary differential equations.*
Master of Science thesis, Dublin City University.

Sharifi, Saba
(2003)
*Co-movements among financial stocks and covariance matrix analysis.*
Master of Science thesis, Dublin City University.

Sartori, Luca
(2003)
*The slow-motion approximation for the Gor'kov-Éliashberg equations.*
PhD thesis, Dublin City University.

Mannion, Rachel
(2001)
*CA and Monte Carlo models of HIV infection.*
Master of Science thesis, Dublin City University.

Kellegher, Eamon
(2001)
*Expansions of vortex solutions for two vortices close together.*
Master of Science thesis, Dublin City University.

Murphy, Brian T.
(2001)
*Hyperasymptotic solutions of differential equations with singularities of arbitrary integer rank.*
PhD thesis, Dublin City University.

MacMullen, Helen
(2000)
*Schwarz domain decomposition methods for singularly perturbed differential equations.*
PhD thesis, Dublin City University.

Farrell, Paul J.
(1999)
*Estimation of buffer overflow probabilities and economies of scale in ATM multiplexers by analysis of a model of packetized voice traffic.*
PhD thesis, Dublin City University.

Breen, Sinéad
(1999)
*Exponentially-improved asymptotics of single and multidimensional integrals.*
PhD thesis, Dublin City University.

O'Gorman, Martin
(1999)
*On the dynamics of creeping structures.*
Master of Science thesis, Dublin City University.

Bijura, Angelina
(1999)
*Singularly perturbed volterra integral equations.*
PhD thesis, Dublin City University.

Sweeney, Néill
(1999)
*The effect of shear flow on the resistive tearing mode of magnetohydrodynamics in a cylindrical geometry.*
Master of Science thesis, Dublin City University.

Walsh, C.P
(1999)
*Worst case traffic from sources constrained by leaky buckets.*
PhD thesis, Dublin City University.

Abdelwahid, Fawzi
(1998)
*A series solution approach to monopole scattering.*
PhD thesis, Dublin City University.

Appleby, John A.D.
(1998)
*Speculation with memory.*
PhD thesis, Dublin City University.

Parnell, James E
(1997)
*Dynamic optimal portfolio theory.*
Master of Science thesis, Dublin City University.

Murphy, Kieran
(1996)
*Dynamic buckling of linear viscoelastic rods.*
PhD thesis, Dublin City University.

Arthur, Kieran A.
(1996)
*On time dependent and time independent vortex solutions.*
PhD thesis, Dublin City University.

Craddock, Aidan
(1996)
*The optical tunnelling problem for fibres with w-shaped refractive index profiles.*
Master of Science thesis, Dublin City University.

O'Donnell, Anne B.
(1996)
*The work of G.G. Stokes in evaluating the Airy rainbow integral and its ramifications today.*
PhD thesis, Dublin City University.

Dunne, Mary T.
(1995)
*A modified mathematical model for HIV transmission, AIDS and intervention strategies in Ireland.*
Master of Science thesis, Dublin City University.

Dowdall, Shane B
(1995)
*Spacelike surfaces of constant mean curvature having continuous internal symmetry in minkowski three space.*
Master of Science thesis, Dublin City University.

Buckley, Finian
(1993)
*Empathic climate and learning outcomes: a study of teaching empathy in relation to mathematics learning outcomes.*
PhD thesis, Dublin City University.

Abdelwahid, Fawzi
(1993)
*Existence theorems for 90o vortex-vortex scattering.*
Master of Science thesis, Dublin City University.

Lawless, Fiona
(1993)
*Exponential asymptotics and special theory for optical tunnelling.*
PhD thesis, Dublin City University.

Xue, Lanzhen
(1993)
*The numerical solution of the parabolic integrro-differential equations.*
Master of Science thesis, Dublin City University.

Hannigan, Paddy
(1992)
*Random walks in random media.*
Master of Science thesis, Dublin City University.

Keenan, Padraig
(1992)
*The solution of two point boundary value problems in a parallel environment.*
Master of Science thesis, Dublin City University.

McCarthy, Pauline
(1991)
*A special vortex - vortex scattering process in superconductors.*
Master of Science thesis, Dublin City University.

Comiskey, Catherine M.
(1991)
*Mathematical models for the transmission dynamics of HIV and its progression to AIDS in Ireland.*
PhD thesis, Dublin City University.

McGuinness, Colm
(1991)
*Superharmonic solutions of nonlinear differential equations.*
PhD thesis, Dublin City University.

Neary, Paul P
(1990)
*Adaptive space-meshing strategies for the numerical solution of parabolic partial differential equations in one space dimension.*
Master of Science thesis, Dublin City University.

Lui, Jinsong
(1990)
*Matched asymptotics for a generalisation of a model equation for optical tunnelling.*
Master of Science thesis, Dublin City University.

Keogh, Gerard
(1990)
*The numerical solution of ordinary and algebraic differential equations using one step methods.*
Master of Science thesis, Dublin City University.

Brazel, Neal
(1989)
*A model equation for the optical tunnelling problem using parabolic cylinder functions.*
Master of Science thesis, Dublin City University.

Compelli, Susan
(1989)
*The analytical and numerical analysis of a model of a chemical ocillator.*
Master of Science thesis, Dublin City University.

Milligan, Gerard
(1989)
*The spectrum of the simplified magnetohydrodynamic ballooning equation by computation of the titchmarsh-weyl coefficient.*
Master of Science thesis, Dublin City University.

Comiskey, Catherine M.
(1988)
*A mathematical model for measles epidemics in Ireland.*
Master of Science thesis, Dublin City University.

Breen, Kevin
(1988)
*Special solutions of the optical soliton eigenvalue problem.*
Master of Science thesis, Dublin City University.

Coghlan, Neil
(1986)
*A bifurcation problem arising from chemical engineering.*
Master of Science thesis, Dublin City University.

## Conference or Workshop Item

Carr, Michael and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2016)
*A project-based-learning approach to teaching second-order differential equations to engineers.*
In: 18th SEFI-MWG European Seminar on Mathematics in Engineering Education, 27-29 June 2016, Gothenburg, Sweden.
ISBN 978-2-87352-013-7

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115, Mac An Bhaird, Ciarán ORCID: 0000-0003-2863-3398 and Nolan, Brien C.
(2012)
*Appropriate settings and supports for third level diagnostic testing in mathematics.*
In: SMEC 2012: Science and Mathematics Education Conference, 7-9 June 2012, Dublin, Ireland.

Gutierrez, Antonio, Monaghan, David, Jiménez, Maria Jose and O'Connor, Noel E.
(2012)
*Persistent homology for 3D reconstruction evaluation.*
In: CTIC 2012 - 4th International Workshop on Computational Topology in Image Context, 28-30 May 2012, Bertinoro, Italy.

Carr, Michael, Murphy, Eoin and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2011)
*Assessment, development and consolidation of advanced skills in engineering mathematics.*
In: SEFI Annual Conference 2011: Global Engineering Recognition, Sustainability, Mobility, 27-30 Sept 2011, Lisbon, Portugal.

Carr, Michael, Bowe, Brian and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2010)
*Improving Core Mathematical Skills in Engineering Undergraduates.*
In: 15th SEFI-MWG Seminar on the Mathematical Education of Engineers, 20-23 June 2010, Wismar, Germany.
ISBN 978-3-939159-97-1

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115 and Carr, Michael
(2010)
*What do they really need to know? Mathematics requirements for incoming engineering undergraduates.*
In: 15th SEFI-MWG Seminar on the Mathematical Education of Engineers, 20-23 June 2010, Wismar, Germany.
ISBN 978-3-939159-97-1

Carr, Michael and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2009)
*Assessment and development of core skills in engineering mathematics.*
In: CETL-MSOR Conference 2009, 7-8 Sept 2009, Milton Keynes, UK.

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2009)
*The role of student feedback in evaluating mathematics support centres.*
In: CETL-MSOR Conference 2009, 7-8 Sept 2009, Milton Keynes, UK.

Carr, Michael, Sheils, Derek and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2008)
*Reducing choice = increasing learning or decreasing marks?*
In: MEE 2008: 14th SEFI(MWG)/IMA Conference on Mathematical Education of Engineers, 6-9 Apr 2008, Loughborough, UK.

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2008)
*Supporting engineering students within a maths learning centre environment.*
In: 14th Mathematical Education of Engineers Conference (MEE 2008), 6-9 Apr 2008, Loughborough, UK.

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2007)
*Assisting adult learners within a maths learning centre.*
In: ALM 14: International Conference on Adults Learning Mathematics, 26-29 Jun 2007, Limerick, Ireland.

Carr, Michael and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2007)
*Increasing learning by decreasing choice: what do students think?*
In: Adults Learning Mathematics (ALM 14), 26-29 Jun 2007, Limerick, Ireland.

Carr, Michael and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2007)
*Alternative forms of continuous assessment in mathematics.*
In: INTED2007, 1st International Technology, Education and Development Conference, 7-9 Mar 2007, Valencia, Spain.
ISBN 978-84-611-4517-1

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2007)
*Easing the transition to third-level for first-year mathematicians.*
In: INTED2007, 1st International Technology, Education and Development Conference, 7-9 Mar 2007, Valencia, Spain.
ISBN 978-84-611-4517-1

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2006)
*Making maths more meaningful:successful support structures for struggling students.*
In: Adults Learning Mathematics (ALM 13), 16-20 July 2006, Belfast, Northern Ireland.
ISBN 0-9552717-1-1

## Book Section

Menkens, Olaf
(2007)
*Value at risk and self-similarity.*
In: Miller, John, Edelman, David and Appleby, John A.D., (eds.)
Numerical methods for finance.
Chapman & Hall/CRC Financial Mathematics Series, 8
.
CRC Press, pp. 225-253.
ISBN 9781584889250

Korn, Ralf and Menkens, Olaf
(2005)
*On worst-case investment with applications in finance and insurance mathematics.*
In: Deuschel, Jean-Dominique and Greven, Andreas, (eds.)
Interacting Stochastic Systems.
Springer Berlin Heidelberg, pp. 397-407.
ISBN 978-3-540-27110-9

## Monograph

O'Sullivan, Ciarán, Mac An Bhaird, Ciarán ORCID: 0000-0003-2863-3398, Fitzmaurice, Olivia and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2014)
*An Irish mathematics learning support network (IMLSN) report on student evaluation of mathematics learning support: Insights from a large scale multi-institutional survey.*
Technical Report.
National Centre for Excellence in Mathematics and Science Teaching and Learning (NCE-MSTL). ISBN 9781905952588

## Working Paper

Leonov, Max
(2014)
*Evolutionary set model for computable technology roadmaps.*
(Paper No. 19924). Dublin City University.

**Fri Sep 21 07:22:58 2018 IST**.